Interpretation of errors from inspection results

Rentoul, A H; Mullineux, Glen; Medland, A J

doi:10.1016/0951-5240(94)90036-1

Cited by 14 publications

(3 citation statements)

References 12 publications

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“…Raz and Bricker (1993) considered inspection errors during screening in an production process. Rentoul et al (1994) studied several ways of inspection errors in manufacturing 5 A C C E P T E D M A N U S C R I P T system which are made by comparing inspection points with a solid model of the desired component. Wang and Sheu (2003) determined an optimal production, inspection, and maintenance policy under the effect of process inspection errors.…”

Section: Introductionmentioning

confidence: 99%

Product inspection policy for an imperfect production system with inspection errors and warranty cost

Sarkar

Saren

2016

European Journal of Operational Research

147

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Section: Introductionmentioning

confidence: 99%

Product inspection policy for an imperfect production system with inspection errors and warranty cost

Sarkar

Saren

2016

European Journal of Operational Research

147

View full text Add to dashboard Cite

“…Optical freeform surfaces possess non-rotational symmetry and the general principle of form characterization of the freeform surfaces has been analysed by some researchers [2][3][4][5][6][7] based on the best matching method, the minimum principle and the least squares method. Although some research work [5,7,13] has taken place in the form characterization of optical freeform surfaces, they were not developed for the characterization of ultra-precision freeform surfaces with sub-micrometre form accuracy.…”

Section: Introductionmentioning

confidence: 99%

Measuring optical freeform surfaces using a coupled reference data method

Cheung

Lee

et al. 2007

Meas. Sci. Technol.

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Flat optical freeform surfaces usually possess non-rotational symmetry with a small curvature and lack of strong features for surface alignment. Due to the lack of strong features and small curvature, it is difficult to align the design and measured surfaces for characterizing the surface quality of flat optical freeform surfaces with sub-micrometre form accuracy. The traditional least squares method (LSM) generally produces large errors as there is a lack of strong features as reference for the alignment of the design and measured surfaces. This paper proposes a novel and practical method named the coupled reference data method (CRDM) to evaluate flat optical freeform surfaces with high efficiency and precision in the nanometre scale. The method couples reference data to the workpiece of the freeform surface designed model and the concerning reference features are machined together with the workpiece. By aligning the reference data, the proposed CRDM carries out fast surface matching. This makes good preparation for the next matching optimization which is conducted by the least-squares and minimax zone method. After the precise surface matching, the flat optical freeform surface can be evaluated by 3D form error topography and parameters. As compared with a traditional freeform measurement method such as LSM, it is interesting to note that the accuracy and the stability of the measurement can be significantly enhanced by the CRDM.

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“…By taking the sum of the distance of all measured points from the theoretic designed surface, the form error was obtained. Rentoul et al proposed the best matching method for form characterization of freeform surfaces [3]. By shifting and rotating the coordinates based not only on the least-squares criterion but also on the least area principle, the feature points, feature lines and feature planes of the measured and design surfaces were overlapped completely and the best alignment was attained.…”

Section: Introductionmentioning

confidence: 99%

Measuring ultra-precision freeform surfaces using a robust form characterization method

Cheung¹,

Li²,

Lee³

et al. 2006

Meas. Sci. Technol.

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Ultra-precision freeform surfaces are complex surfaces that possess non-rotational symmetry and are widely used in advanced optics applications. However, there is a lack of a surface characterization method that measures the form accuracy of the ultra-precision freeform surfaces with micrometre to sub-micrometre form accuracy. Due to the high precision requirement of the ultra-precision freeform surfaces, this inevitably involves the outliers in the measured data that would significantly affect the accuracy and the performance of the form characterization method. Although some research work has been found in the development of the form characterization method, most workers have not considered the influence of outliers. It is vital to incorporate robust estimation in the surface characterization method for catering for the influence of outliers. In this paper, a robust form characterization method (RFCM) is presented to characterize the form accuracy of the ultra-precision freeform surfaces. A series of computer simulation and experimental analyses were undertaken to verify the RFCM. The theoretical results agree well with the simulation and experimental results.

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Interpretation of errors from inspection results

Cited by 14 publications

References 12 publications

Product inspection policy for an imperfect production system with inspection errors and warranty cost

Product inspection policy for an imperfect production system with inspection errors and warranty cost

Measuring optical freeform surfaces using a coupled reference data method

Measuring ultra-precision freeform surfaces using a robust form characterization method

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